Finding the Fourth Proportional to 9,653.34, 13,322.91 and 5,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.34 : 13,322.91 = 5,461.50 : x
2. Step 2: Convert to fraction form
   9,653.34/13,322.91 = 5,461.50/x
3. Step 3: Cross multiply
   9,653.34x = 13,322.91 × 5,461.50
4. Step 4: Simplify right side
   9,653.34x = 72,763,072.97
5. Step 5: Solve for x
   x = 72,763,072.97/9,653.34
6. Step 6: Final answer
   x = 7,537.61